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Finding the Fourth Proportional to 23,803.20, 35,704.62 and 7,163.16

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Solution

The fourth proportional to 23,803.20, 35,704.62 and 7,163.16 is: 10,744.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,803.20 : 35,704.62 = 7,163.16 : x
  2. Step 2: Convert to fraction form
    23,803.20/35,704.62 = 7,163.16/x
  3. Step 3: Cross multiply
    23,803.20x = 35,704.62 × 7,163.16
  4. Step 4: Simplify right side
    23,803.20x = 255,757,905.80
  5. Step 5: Solve for x
    x = 255,757,905.80/23,803.20
  6. Step 6: Final answer
    x = 10,744.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.